Injured India batsman VVS Laxman has been ruled out of the second Test against Bangladesh and will return home.
Laxman sustained damage to his left hand when attempting a catch on the fourth day of India's 113-run triumph and consequently required 10 stitches.
"He will go back home and no replacement will be called up," said manager Arshad Ayub.
Paceman Sreesanth is also a doubt for the second Test after suffering a
hamstring injury while bowling on day four.
"It is too early to say if Sreesanth will be fit for the game," added Ayub. "His condition is being monitored."
Bangladesh needed to bat out the day to salvage the first Test, but leg-spinner Amit Mishra secured four wickets as the hosts, targeting 415 for a win, were bowled out for 301.
A maiden Test century from Mushfiqur Rahim (101) held up India before victory was finally sealed with a session to spare.
"It's nice to have a win under your belt in the first Test," said stand-in skipper Virender Sehwag, who was filling in for the injured Mahendra Singh Dhoni.
"We were bowled out for a low total in the first innings and I thought the bowlers did a fantastic job. They bowled really well, hit the right areas and picked up wickets at the right time."
Sachin Tendulkar was awarded man of the match after lifting India's total on the first day with a battling century, his 44th in Test cricket.
"It was very important knock because we lost a lot of wickets after a good opening partnership on the first day," said Tendulkar.
"It is important to put on a good total in the first innings and credit to the lower batting order for their support because those 40-50 runs proved crucial."
Bangladesh captain Shakib Al Hasan demanded improvement in his side's batting ahead of the second match of the series.
"Our bowling was good throughout, but I think we just didn't bat well enough in the first innings and that proved the difference," he said.
"We just played too many rash shots and away from the body and that is something which we need to work on."
India were without regular captain Dhoni and off-spinner Harbhajan Singh in Chittagong, but the pair are both recovering well and are expected to feature in the second Test, which begins in Dhaka on January 24.